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This section includes 178 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.
101. |
The capacity of a cuboid tank of water is 50000 L. Find the breadth of the tank, if its length and depth are 2.5 m and 10 m, respectively. |
A. | 2 m |
B. | 4 m |
C. | 9 m |
D. | 6 m |
Answer» B. 4 m | |
102. |
The paint in certain container is sufficient to paint an area equal to dimensions 22.5 cm x 10 cm x 7.5 cm can be painted out of this container ? |
A. | 100 |
B. | 200 |
C. | 50 |
D. | 175 |
Answer» B. 200 | |
103. |
What are the dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cu cm, surface area 484 sq cm and the area of the base 72 sq cm ? |
A. | 9, 8 and 10 cm |
B. | 12, 6 and 10 cm |
C. | 18, 4 and 10 cm |
D. | 30, 2 and 12 cm |
Answer» B. 12, 6 and 10 cm | |
104. |
The volume of a cube is numerically equal to sum of its edges. What is the total surface area in square units ? |
A. | 12 |
B. | 36 |
C. | 72 |
D. | 144 |
Answer» D. 144 | |
105. |
Three cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find half of the surface area of the new cube. ? |
A. | 243 sq cm |
B. | 463 sq cm |
C. | 486 sq cm |
D. | 293 sq cm |
Answer» B. 463 sq cm | |
106. |
If the total surface area of a cube is 6 sq units, then what is the volume of the cube ? |
A. | 1 cu unit |
B. | 2 cu units |
C. | 4 cu units |
D. | 6 cu units |
Answer» B. 2 cu units | |
107. |
Find the surface area of a cuboid 10 m long, 5 m broad and 3 m high ? |
A. | 105 sq m |
B. | 104 sq m |
C. | 170 sq m |
D. | 190 sq m |
Answer» E. | |
108. |
The volume of a cuboid is 1989 cm |
A. | 9 cm |
B. | 4 cm |
C. | 14 cm |
D. | 7 cm |
Answer» B. 4 cm | |
109. |
A spherical ball of lead, 3 cm in diameter is melted and recast into three spherical balls, The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is ? |
A. | 2.66 cm |
B. | 2.25 cm |
C. | 3 cm |
D. | 3.5 cm |
Answer» C. 3 cm | |
110. |
Volume of a hemisphere is 19404 cubic cm. The total surface area is ? |
A. | 27772 sq. cm |
B. | 4158 sq. cm |
C. | 5544 sq. cm |
D. | 1386 sq. cm |
Answer» C. 5544 sq. cm | |
111. |
The cost of painting the four walls of a room is Rs. 350. The cost of painting a room three times in length, breadth and height respectively will be ? |
A. | Rs. 1050 |
B. | Rs. 1400 |
C. | Rs. 3150 |
D. | Rs. 4200 |
Answer» D. Rs. 4200 | |
112. |
The diagonal of a cube is 2 |
A. | 15 sq cm |
B. | 18 sq cm |
C. | 25 sq cm |
D. | 24 sq cm |
Answer» E. | |
113. |
A cylindrical piece of metal of radius 2 cm and height 6 cm is shaped into a cone of same radius. The height of the cone is ? |
A. | 18 cm |
B. | 14 cm |
C. | 12 cm |
D. | 8 cm |
Answer» B. 14 cm | |
114. |
Internal length, breadth and height of a rectangular box are 10 cm, 8 cm and 6 cm, respectively. How many boxes are needed which can be packed in a cube whose volume is 6240 cu. cm. ? |
A. | 12 |
B. | 13 |
C. | 15 |
D. | 17 |
Answer» C. 15 | |
115. |
If the height of a come is doubled, then its volume is increased by ? |
A. | 100% |
B. | 200% |
C. | 300% |
D. | 400% |
Answer» B. 200% | |
116. |
If the radius of a sphere is doubled, then its volume is increased by ? |
A. | 100 % |
B. | 200 % |
C. | 700 % |
D. | 800 % |
Answer» D. 800 % | |
117. |
The radius of two cylinders are in the ratio of 2 : 3 and their height are in the ratio 5 : 3 . The ratio of their volumes is ? |
A. | 27 : 20 |
B. | 20 : 27 |
C. | 4 : 9 |
D. | 9 : 4 |
Answer» C. 4 : 9 | |
118. |
A radius of the base of a right circular cone is 6 cm and its slant height is 28 cm. The curved surface area of the cone is ? |
A. | 268 sq. cm |
B. | 528 sq. cm |
C. | 462 sq. cm |
D. | 658 sq. cm |
Answer» C. 462 sq. cm | |
119. |
How many bullets can be made out of a cube of lead whose edge measures 22 cm, each bullet being 2 cm in diameter ? |
A. | 5324 |
B. | 2662 |
C. | 1347 |
D. | 2541 |
Answer» E. | |
120. |
The length of the wire of 0.2 mm radius that can be drawn after melting a solid copper sphere of diameter 18 cm, is ? |
A. | 24.3 m |
B. | 243 m |
C. | 2430 m |
D. | 24300 m |
Answer» E. | |
121. |
The number of solid spheres each of diameter 6 cm that could be moulded to form a solid metal cylinder 4 cm, is ? |
A. | 3 |
B. | 4 |
C. | 5 |
D. | 6 |
Answer» D. 6 | |
122. |
The percentage increased in the surface area of a cube when each side is doubled, is ? |
A. | 25% |
B. | 50% |
C. | 150% |
D. | 300% |
Answer» E. | |
123. |
A right cylindrical vessel is full with water. How many right cones having the same diameter and height as those of the right cylinder will be needed to store that water ? |
A. | 2 |
B. | 3 |
C. | 4 |
D. | 5 |
Answer» C. 4 | |
124. |
If the radius of a sphere is doubled, then its surface area is increased by ? |
A. | 100% |
B. | 200% |
C. | 300% |
D. | 50% |
Answer» D. 50% | |
125. |
A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is ? |
A. | 3 : 5 |
B. | 2 : 5 |
C. | 3 : 1 |
D. | 1 : 3 |
Answer» E. | |
126. |
A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by ? |
A. | 4.5 cm |
B. | 2.25 cm |
C. | 4/9 cm |
D. | 2/9 cm |
Answer» C. 4/9 cm | |
127. |
A hollow garden roller 63 cm wide with a girth of 440 cm is made of iron 4 cm thick. The volume of iron used is ? |
A. | 56372 cubic m |
B. | 107712 cubic cm |
C. | 54982 cubic cm |
D. | 57636 cubic cm |
Answer» C. 54982 cubic cm | |
128. |
The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is ? |
A. | 4/3 times its radius |
B. | 2/3 times its radius |
C. | Equal to the radius |
D. | Equals to its diameter |
Answer» B. 2/3 times its radius | |
129. |
A spherical lead ball of radius 10 cm is melted and small lead balls of radius 5 mm are made. The total number of possible small lead balls. ? |
A. | 800 |
B. | 125 |
C. | 400 |
D. | 8000 |
Answer» E. | |
130. |
A come of height 7 cm and base radius 3 cm is curved from a rectangular block of wood 10 cm x 5 cm x 2 cm. The percentage of wood wasted is ? |
A. | 34% |
B. | 46% |
C. | 54% |
D. | 66% |
Answer» B. 46% | |
131. |
The material of a cone is converted into the shape of a cylinder of equal radius . If the height of the cylinder is 5 cm. the height of the cone is ? |
A. | 10 cm |
B. | 15 cm |
C. | 18 cm |
D. | 24 cm |
Answer» C. 18 cm | |
132. |
If the volumes of two cones are in ratio 1 : 4 and their diameter are in the ratio 4 : 5, then the ratio of their heights is ? |
A. | 1 : 5 |
B. | 5 : 4 |
C. | 5 : 16 |
D. | 25 : 64 |
Answer» E. | |
133. |
A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 60 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder ? |
A. | 15 cm |
B. | 30 cm |
C. | 40 cm |
D. | 25 cm |
Answer» D. 25 cm | |
134. |
If each side of a cube is decreased by 19%, then decrease in surface area is ? |
A. | 40% |
B. | 38.4% |
C. | 35% |
D. | 34.39% |
Answer» E. | |
135. |
If the side of a cube is increased by 12%, by how much per cent does its volume increase ? |
A. | 40.4928% |
B. | 50.5240% |
C. | 60.3292% |
D. | 30.4928% |
Answer» B. 50.5240% | |
136. |
The diameter of the base of a right circular cylinder is 14 cm, while its length is 40 cm. Find the total surface area of the cylinder. ? |
A. | 2068 sq cm |
B. | 1825 sq cm |
C. | 1925 sq cm |
D. | 2160 sq cm |
Answer» B. 1825 sq cm | |
137. |
If the lateral surface area of a cylinder is 94.2 sq cm and its height is 5 cm, then find the radius of its base. ( = 3.14) ? |
A. | 5 cm |
B. | 8 cm |
C. | 3 cm |
D. | 4 cm |
Answer» D. 4 cm | |
138. |
What is the height of a solid cylinder of radius 5 cm and total surface area is 660 sq cm ? |
A. | 10 cm |
B. | 12 cm |
C. | 15 cm |
D. | 16 cm |
Answer» E. | |
139. |
What will be the curved surface area of a right circular cylinder having length 160 cm and radius of the base is 7 cm ? |
A. | 6020 sq cm |
B. | 5052 sq cm |
C. | 7045 sq cm |
D. | 7040 sq cm |
Answer» E. | |
140. |
If the ratio of volumes of two cones is 2 : 3 and the ratio of the radii of their bases is 1 : 2, then the ration of their heights will be ? |
A. | 3 : 8 |
B. | 8 : 3 |
C. | 9 : 2 |
D. | 8 : 1 |
Answer» C. 9 : 2 | |
141. |
The ratio of the radius and height of a cone is 5 : 12. Its volume is 314 |
A. | 18 cm |
B. | 13 cm |
C. | 16 cm |
D. | 15 cm |
Answer» C. 16 cm | |
142. |
The diameter of the Moon is approximately one-fourth of the diameter of the Earth. What is the ratio (approximate) of their volumes ? |
A. | 4 : 16 |
B. | 1 : 64 |
C. | 1 : 4 |
D. | 1 : 128 |
Answer» C. 1 : 4 | |
143. |
Find the number of lead balls of diameter 2 cm each, that can be made from a sphere of diameter 16 cm. ? |
A. | 2048 |
B. | 2055 |
C. | 2058 |
D. | None of the above |
Answer» E. | |
144. |
A hemispherical bowl has 3.5 cm radius. It is to be painted inside as well as outside. Find the cost of painting it at the rate of 5 per 10 sq cm. ? |
A. | 50 |
B. | 81 |
C. | 56 |
D. | 77 |
Answer» E. | |
145. |
If the radius of a sphere is increased by 100%, by what per cent does its volume increase ? |
A. | 300% |
B. | 900% |
C. | 500% |
D. | 700% |
Answer» E. | |
146. |
Weight of a solid metallic sphere of radius 4 cm is 4 kg. The weight of a hollow sphere made with same metal, whose outer diameter is 16 cm and inner diameter is 12 cm, is ? |
A. | 20.5 kg |
B. | 15.5 kg |
C. | 16.5 kg |
D. | 18.5 kg |
Answer» E. | |
147. |
Find the area of the iron sheet required to prepare a cone double the height of 12 cm with diameter of the base 14 cm. ? |
A. | 504 sq cm |
B. | 804 sq cm |
C. | 304 sq cm |
D. | 704 sq cm |
Answer» E. | |
148. |
What part of a ditch 48 m long, 16.5 m broad and 4 m deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 m and length 56 m ? |
A. | 1/9 |
B. | 2/9 |
C. | 7/9 |
D. | 8/9 |
Answer» C. 7/9 | |
149. |
Water flows into a tank 100 m x 150 m x 2 m through a rectangular pipe 1.5 m x 1.25 m at a speed of 20 km/h. In what time, will the water rise by 2 m ? |
A. | 96 min |
B. | 50 min |
C. | 48 min |
D. | 75 min |
Answer» D. 75 min | |
150. |
A hospital room is to accommodate 56 patients. It should be done in such a way that every patient gets 2.2 m |
A. | 8.8 m, 4 m |
B. | 8.4 m, 4.2 m |
C. | 8 m, 4 m |
D. | 7.8 m, 4.2 m |
Answer» B. 8.4 m, 4.2 m | |